Information on Result #704539
Linear OA(397, 728, F3, 25) (dual of [728, 631, 26]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [0,24], and designed minimum distance d ≥ |I|+1 = 26
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(397, 443, F3, 2, 25) (dual of [(443, 2), 789, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(397, 443, F3, 3, 25) (dual of [(443, 3), 1232, 26]-NRT-code) | [i] | ||
| 3 | Linear OOA(397, 443, F3, 4, 25) (dual of [(443, 4), 1675, 26]-NRT-code) | [i] | ||
| 4 | Linear OOA(397, 443, F3, 5, 25) (dual of [(443, 5), 2118, 26]-NRT-code) | [i] | ||
| 5 | Digital (72, 97, 443)-net over F3 | [i] | ||
| 6 | Linear OA(3139, 790, F3, 31) (dual of [790, 651, 32]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3137, 788, F3, 30) (dual of [788, 651, 31]-code) | [i] | ✔ | |
| 8 | Linear OA(3114, 757, F3, 27) (dual of [757, 643, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(3116, 757, F3, 28) (dual of [757, 641, 29]-code) | [i] | ✔ | |
| 10 | Linear OA(3113, 754, F3, 27) (dual of [754, 641, 28]-code) | [i] | ✔ | |
| 11 | Linear OA(3138, 787, F3, 31) (dual of [787, 649, 32]-code) | [i] | ✔ | |
| 12 | Linear OA(3136, 785, F3, 30) (dual of [785, 649, 31]-code) | [i] | ✔ | |
| 13 | Linear OA(3136, 781, F3, 31) (dual of [781, 645, 32]-code) | [i] | ✔ | |
| 14 | Linear OA(3114, 751, F3, 28) (dual of [751, 637, 29]-code) | [i] | ✔ | |
| 15 | Linear OA(3111, 748, F3, 27) (dual of [748, 637, 28]-code) | [i] | ✔ | |
| 16 | Linear OA(3113, 748, F3, 28) (dual of [748, 635, 29]-code) | [i] | ✔ | |
| 17 | Linear OA(3135, 778, F3, 31) (dual of [778, 643, 32]-code) | [i] | ✔ | |
| 18 | Linear OA(3132, 775, F3, 30) (dual of [775, 643, 31]-code) | [i] | ✔ | |
| 19 | Linear OA(3133, 772, F3, 31) (dual of [772, 639, 32]-code) | [i] | ✔ | |
| 20 | Linear OA(3130, 769, F3, 30) (dual of [769, 639, 31]-code) | [i] | ✔ | |
| 21 | Linear OA(3132, 769, F3, 31) (dual of [769, 637, 32]-code) | [i] | ✔ | |
| 22 | Linear OA(3109, 740, F3, 27) (dual of [740, 631, 28]-code) | [i] | ✔ | |
| 23 | Linear OA(3137, 768, F3, 32) (dual of [768, 631, 33]-code) | [i] | ✔ | |
| 24 | Linear OA(3147, 778, F3, 34) (dual of [778, 631, 35]-code) | [i] | ✔ | |
| 25 | Linear OA(3145, 772, F3, 34) (dual of [772, 627, 35]-code) | [i] | ✔ | |
| 26 | Linear OA(3151, 782, F3, 35) (dual of [782, 631, 36]-code) | [i] | ✔ | |
| 27 | Linear OA(3149, 776, F3, 35) (dual of [776, 627, 36]-code) | [i] | ✔ | |
| 28 | Linear OA(3161, 785, F3, 36) (dual of [785, 624, 37]-code) | [i] | ✔ | |
| 29 | Linear OA(3162, 793, F3, 37) (dual of [793, 631, 38]-code) | [i] | ✔ | |
| 30 | Linear OA(3160, 791, F3, 36) (dual of [791, 631, 37]-code) | [i] | ✔ | |
| 31 | Linear OA(3160, 787, F3, 37) (dual of [787, 627, 38]-code) | [i] | ✔ | |
| 32 | Linear OA(3158, 785, F3, 36) (dual of [785, 627, 37]-code) | [i] | ✔ | |
| 33 | Linear OA(3172, 796, F3, 38) (dual of [796, 624, 39]-code) | [i] | ✔ | |
| 34 | Linear OOA(397, 182, F3, 4, 25) (dual of [(182, 4), 631, 26]-NRT-code) | [i] | OOA Folding | |